2925579000960 has 1536 divisors, whose sum is σ = 13058736537600. Its totient is φ = 585717350400.

The previous prime is 2925579000959. The next prime is 2925579000961. The reversal of 2925579000960 is 690009755292.

It is a happy number.

2925579000960 is a `hidden beast` number, since 2 + 9 + 2 + 5 + 579 + 0 + 0 + 0 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (2925579000959) and next prime (2925579000961).

It is a super-2 number, since 2×2925579000960² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2925579000897 and 2925579000906.

It is not an unprimeable number, because it can be changed into a prime (2925579000961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5348407407 + ... + 5348407953.

It is an arithmetic number, because the mean of its divisors is an integer number (8501781600).

Almost surely, 2^{2925579000960} is an apocalyptic number.

2925579000960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2925579000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6529368268800).

2925579000960 is an abundant number, since it is smaller than the sum of its proper divisors (10133157536640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2925579000960 is a wasteful number, since it uses less digits than its factorization.

2925579000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 2925579000960 in words is "two trillion, nine hundred twenty-five billion, five hundred seventy-nine million, nine hundred sixty", and thus it is an aban number.